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I would really like to draw a table like on the photo. Everything I have tried does not work. Maybe I do something wrong right at the beginning. I only got the table you can see in the code below. There is still a lot to do for getting a table like on the photo. But I just do not understand how to get there. It is all new for me and I hope you are not angry about the question. (and sorry for my bad English). Thank you for your help!

enter image description here

\documentclass[a4paper, fontsize=11pt]{scrbook} \usepackage{geometry} \geometry{a4paper, top=25mm, left=25mm, right=25mm, bottom=20mm, headsep=10mm, footskip=12mm} \usepackage[ngerman]{babel} \usepackage[T1]{fontenc} \usepackage[latin1]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{multirow,array} \usepackage{arydshln} \dashlinegap=1pt \usepackage{acronym} \begin{document} \begin{table} \renewcommand\arraystretch{1.5} \begin{tabular}{*{5}{>{$}c<{$}|}} \multicolumn{2}{c}{} & \multicolumn{3}{c}{Spieler 2} \\ \cline{3-5} \multicolumn{1}{c}{} & & s_{21} & s_{22} & s_{23} \\ \cline{2-5} \multirow{3}*{Spieler 1} & s_{11} & 1 & 6 & 0 \\ \cline{2-5} & s_{12} & 2 & 0 & 3 \\ \cline{2-5} & s_{12} & 3 & 2 & 4 \\ \cline{2-5} \end{tabular} \end{table} \end{document}
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The ovale frame can be drawn with tikz

Code 

\documentclass[a4paper]{article} \usepackage{geometry} \geometry{a4paper, top=25mm, left=25mm, right=25mm, bottom=20mm, headsep=10mm, footskip=12mm} \usepackage[ngerman]{babel} \usepackage[T1]{fontenc} \usepackage[latin1]{inputenc} \usepackage{amsmath} \usepackage{amssymb} \usepackage{multirow,array} \usepackage{arydshln} \usepackage{tikz} \dashlinegap=1pt \usepackage{acronym} \begin{document} \begin{table} \renewcommand\arraystretch{1.5} \setlength{\tabcolsep}{4mm} \begin{tabular}{*{5}{>{$}c<{$}}} & & \multicolumn{2}{c}{Player II}& \\ & & \multicolumn{1}{c}{H} & \multicolumn{1}{c}{T} & min_{s_{II}}S_{II}u_I(S_I,S_{II})\\\cline{3-4} \multirow{2}*{Player I} & H & \multicolumn{1}{|c|}{1} & \multicolumn{1}{c|}{-1} &\multicolumn{1}{l}{-1} \\ \cline{3-4} & T & \multicolumn{1}{|c|}{-1} & \multicolumn{1}{c|}{-1} &\multicolumn{1}{l}{-1} \\ \cline{3-4} \multicolumn{1}{r@{}}{$min_{s_{I}}S_{II}u_I(S_I,S_{II})$} & & 1 &1 & \multicolumn{1}{l}{\tikz\node[draw,rounded corners=5pt,minimum width=1cm]{-1,1};} \end{tabular} \end{table} \end{document}
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Here is a solution with {NiceTabular} of nicematrix.

\documentclass{article} \usepackage{nicematrix} \begin{document} \renewcommand{\arraystretch}{1.3} \begin{NiceTabular}{ccccl} & & \Block{1-2}{Player II} \\ & & $H$ & $T$ & \rlap{$\min\limits_{s_{\text{II}} \in S_{\text{II}}}u_{\text{I}}(s_{\text{I}},s_{\text{II}})$} \\ \Block{2-1}{Player I} & $H$ & \Block[hvlines]{2-2}{} $1$ & $-1$ & $-1$ \\ & $T$ & $-1$ & $-1$ & $-1$ \\ \smash{$\min\limits_{s_{\text{I}} \in S_{\text{I}}} u_{\text{II}}(s_{\text{I}},s_{\text{II}})$ } & & $1$ & $1$ & \Block[draw,rounded-corners=8pt]{}{$-1,1$} \\ \end{NiceTabular} \end{document}

Output of the above code

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